Course:MATH312/Notes

Countability

Brief notes from the University of Queensland (Australia) on the countability of the rationals (and uncountability of the reals) which may be useful: http://www.maths.uq.edu.au/courses/MATH3402/Lectures/randr.pdf

[22 Sep 2012]

Quiz 1

Class Statistics

Number of students who took the quiz: 51

Average (mean) score: 15.2 out of 20

Median: 15 out of 20

File:UBC Math 312 - Quiz 1 Answer Key.pdf

Here is an explanatory note on the marking of question 3 of the quiz.

File:UBC Math 312 - Quiz 1 - Question 3.pdf

[5 Oct 2012]

Midterm Exam Review

Please review your course material up to and including Congruences, and practice some problems.

Here are 2 practice problems provided by Prof. Sujatha. You should definitely try these.

File:UBC Math 312 - Midterm Review - Practice Problems (Sujatha).pdf

Here are 8 problems of medium-level difficulty from the textbook, sampling a range of topics that could be on the Midterm.

File:Math 312 Midterm Review - Practice Problems.pdf

Solutions:

File:Math 312 - Solutions to Midterm Review Problems.pdf

[15 Oct 2012]

Midterm Exam

Class Statistics

Number of students who took the midterm: 54

Average (mean) score: 43.5 out of 60

Median: 44 out of 60

File:Math 312 - Midterm Answer Key.pdf

[26 Oct 2012]

Quiz 2

Class Statistics

Number of students who took the quiz: 52

Average (mean) score: 10.6 out of 19

Median: 11 out of 19

Remarks:

- Many of you have not grasped the workings of congruences (modular arithmetic) yet -- they form a core component of any introductory number theory course.

- I urge you to look through the solutions below, as you can learn different methods from the answers to different questions.

- Do not be too concerned about your quiz score as it only counts for 5% of your overall grade. I understand that there was also pressure due to the short time period allocated for the quiz.

- But, more importantly, you should focus on getting the concepts and methods right for the Final Exam, as it counts for 50% of your grade.

File:UBC Math 312 Quiz 2 Solutions.pdf

[7 Nov 2012]